BibTeX
@INCOLLECTION{
Bischof2003AGC,
author = "C. H. Bischof and H. M. B{\"u}cker and B. Lang and A.~Rasch",
title = "Automated Gradient Calculation",
booktitle = "Flow Modulation and FluidStructure Interaction at Airplane Wings",
publisher = "Springer",
editor = "J. Ballmann",
pages = "205224",
address = "Berlin",
series = "Notes on Numerical Fluid Mechanics and Multidisciplinary Design",
abstract = "Automatic differentiation is a powerful technique for evaluating derivatives of
functions given in the form of a highlevel programming language such as Fortran, C, or~C++. The
program is treated as a sequence of elementary statements to which the chain rule of differential
calculus is applied mechanically. A key feature of this technique is its ability to generate
accurate derivatives rather than approximations obtained from numerical differentiation like divided
differences. We survey automatic differentiation and report on preliminary results that have been
obtained applying the automatic differentiation tool ADIFOR to a largescale computational fluid
dynamics solver, TFS, developed at Aerodynamisches Institut, Aachen University of Technology. This
solver comprises approximately 24,000 lines of Fortran~77 and is able to resolve steady and unsteady
laminar and turbulent flows in two and three dimensions.",
ad_area = "Computational Fluid Dynamics",
ad_tools = "ADIFOR",
ad_theotech = "Introduction",
year = "2003",
number = "84"
}
